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210133424000020 = 225174876112674873
BaseRepresentation
bin101111110001110110000000…
…000101111100110000010100
31000120000120002121122210001011
4233301312000011330300110
5210020311223021000040
62022525543505542004
762155432065162613
oct5761660005746024
91016016077583034
10210133424000020
1160a560a2754384
121b699322644904
13903365c798a31
1439c6724c7587a
1519460bc73e3ea
hexbf1d8017cc14

210133424000020 has 48 divisors (see below), whose sum is σ = 467247467726928. Its totient is φ = 79107425116160.

The previous prime is 210133424000009. The next prime is 210133424000023. The reversal of 210133424000020 is 20000424331012.

It can be written as a sum of positive squares in 8 ways, for example, as 23804699548036 + 186328724451984 = 4879006^2 + 13650228^2 .

It is a junction number, because it is equal to n+sod(n) for n = 210133423999955 and 210133424000000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210133424000023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10241304 + ... + 22916176.

It is an arithmetic number, because the mean of its divisors is an integer number (9734322244311).

Almost surely, 2210133424000020 is an apocalyptic number.

210133424000020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210133424000020 is an abundant number, since it is smaller than the sum of its proper divisors (257114043726908).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

210133424000020 is a wasteful number, since it uses less digits than its factorization.

210133424000020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12723660 (or 12723658 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 210133424000020 its reverse (20000424331012), we get a palindrome (230133848331032).

The spelling of 210133424000020 in words is "two hundred ten trillion, one hundred thirty-three billion, four hundred twenty-four million, twenty", and thus it is an aban number.

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 48761 97522 195044 243805 487610 828937 975220 1657874 3315748 4144685 8289370 12674873 16578740 25349746 50699492 63374365 126748730 215472841 253497460 430945682 861891364 1077364205 2154728410 4309456820 618039482353 1236078964706 2472157929412 3090197411765 6180394823530 10506671200001 12360789647060 21013342400002 42026684800004 52533356000005 105066712000010 210133424000020